Double Double-Draw Blackjack (Patent Pending) Mathematician: Stephen How. House Edge = 0.62%
Double Double-Draw Blackjack allows the player to hit after doubles, or to discard and replace his double-down card with the next card from the shoe. The player may even replace a double-down card that would otherwise bust his hand.
All Blackjack rules remain unchanged other than as set out below
When doubling-down on two-card hard 7 to 13, after viewing the 3rd card the Player may:
a) keep the third card and draw no more cards.
b) keep the third card and draw one more card only.
c) change the third card and stand with the replacement card.
Dealer must change his initial Up-card if it is 2 to 7 and must keep the second (replacement) Up-Card.
Odds-Win Bonus Blackjack (Patent Pending) Mathematician: Stephen How. House Edge = 4.82%
Odds-Win is a Blackjack Side-bet which pays when the Player wins or pushes his hand after starting with a 2-card Odd Total.
Odds-Win pays:
4 to 1 for a winning Player Blackjack.
3 to 1 for a winning Player hand starting with an odd total.
1 to 1 for a pushing Player hand starting with an odd total or Blackjack.
Examples on Odds-Win:
1. Player wagers an Odds-Win side bet and receives his initial two card hand. If the total of his two card hand is even then the side bet loses.
2. Player wagers an Odds-Win side bet and receives a blackjack. The Dealer does not have a blackjack, the side bet pays 4-to-1.
3. The Player wagers an Odds-Win side bet and receives his initial two card hand. The sum of his two card hand is odd, so the dealer leaves the Odds-Win side bet in action.
3a) If the Player wins the hand, the side bet pays 3-to-1.
3b) If the Player pushes with the dealer, the side bet pays 1-to-1.
3c) If the Player loses the hand, the side bet loses.
If the dealer has a 2-7 up card, is it replaced prior to the player's decisions?Quote: MrCasinoGamesDouble Double-Draw Blackjack (Patent Pending)
...
Dealer must change his initial Up-card if it is 2 to 7 and must keep the second (replacement) Up-Card.
Quote: DJTeddyBearIf the dealer has a 2-7 up card, is it replaced prior to the player's decisions?Quote: MrCasinoGamesDouble Double-Draw Blackjack (Patent Pending)
...
Dealer must change his initial Up-card if it is 2 to 7 and must keep the second (replacement) Up-Card.
Hi DJTeddyBear,
Thanks for pointing this out. It is replaced before the player's make their decisions.
Quote: HunterhillFor the odds win game, I don't like the fact that you lose your sidebet if you lose your hand. If you have an odd total you should win the side bet.
Hi Hunterhill,
I do have a side bet for Blackjack (Odds-on Bonus Blackjack) that pays even money if the player's first two cards add to an odd number. I don't think the Players will like it because it only pays 1 to 1.
Mathematician for Odds-Bonus Blackjack: Cindy Liu. House Edge = see below.
Number of Decks ----- Probability of Winning ----- House Edge
1 ------------------------------ 48.2655% ------------- 3.4691%
2 ------------------------------ 47.7969% ------------- 4.4063%
3 ------------------------------ 47.6427% ------------- 4.7146%
4 ------------------------------ 47.5660% ------------- 4.8681%
5 ------------------------------ 47.5200% ------------- 4.9599%
6 ------------------------------ 47.4895% ------------- 5.0210%
7 ------------------------------ 47.4677% ------------- 5.0646%
8 ------------------------------ 47.4513% ------------- 5.0973%
* Notes: An odd number + an even number = odd number.
Plus you say Double down on 7 to 13 here, but 7 to 14 on this ICE link !
http://www.gamingfloor.biz/forum/showthread.php?p=35794
And what when that 6 is replaced with a 7. They will blame the 3rd baseman if he doesn't double down draw to get rid of that 7. LOL
Quote: BuzzardSomething does not look right to me Stephen. But I am easily confused. Surely the 2-7 is not replaced before the player decides to double down or not ? And if one player decides to double down, what about the other players. I mean if that 2 to 7 is replaced, I don't see how the edge can only be 0.62. Or is this a head-to-head game, one player against a dealer ?
Plus you say Double down on 7 to 13 here, but 7 to 14 on this ICE link !
http://www.gamingfloor.biz/forum/showthread.php?p=35794
Hi Buzzard,
The Dealer's 2-7 up-card is replaced before the player decides.
Double down on hard 7 to 13 is for the US (6-deck game with no LS, DAS, SP4, SPA4, H17, the house edge is 0.62%).
On this ICE link, Double down on hard 7 to 14 is for the UK and EU (6-deck no LS, DAS, SP4, SPA4, S17, EHNC, double on two-card hard 7-14 the house edge is 0.865%).
2. Player wagers an Odds-Win side bet and receives a blackjack. The Dealer does not have a blackjack, the side bet pays 4-to-1.
Could the side bet pay 3-1 and players wins, no matter what ? I am too math illiterate to know the answer to my question !
Quote: BuzzardAnd what when that 6 is replaced with a 7. They will blame the 3rd baseman if he doesn't double down draw to get rid of that 7. LOL
Hi Buzzard,
The Dealer's 2-7 up-card is replaced before any player makes any decisions.
Quote: MrCasinoGamesHi Buzzard,
The Dealer's 2-7 up-card is replaced before the player decides.
Double down on hard 7 to 13 is for the US (6-deck game with no LS, DAS, SP4, SPA4, H17, the house edge is 0.62%).
On this ICE link, Double down on hard 7 to 14 is for the UK and EU (6-deck no LS, DAS, SP4, SPA4, S17, EHNC, double on two-card hard 7-14 the house edge is 0.865%).
Is that no double after split or just no LS ? Am I correct is that a 6 can be replaced by a 7 and then that seven can be replaced again ?Shed not for her the bitter tear Nor give the heart to vain regret Tis but the casket that lies here, The gem that filled it Sparkles yet
Quote: MrCasinoGamesHi Buzzard,
The Dealer's 2-7 up-card is replaced before any player makes any decisions.
Ok I get it now. 2-7 replaced before any action is taken. And that card remains in play. Is that correct ?
Quote: BuzzardOk I get it now. 2-7 replaced before any action is taken. And that card remains in play. Is that correct ?
Yes, Buzzard,
Dealer must change his initial Up-card if it is 2 to 7 and must keep the second (replacement) Up-Card.
Just saying that players will think game has a much higher edge than 0.62 %
Quote: GWAEIt seems like it would really slow the game down.
Hi GWAE,
This BJ side bets is faster then other BJ side bets, because you only pay the side-bet if the main-bet win or push and don't have to pay the side-bet if the main-bet lose.
Quote: BuzzardODDS- WIN is not listed on the link either. But in all honesty I absolutely hate rule #2. Not just in your game but in others like it, even Wheel Of Madness. Get a blackjack and spin the wheel. Unless the dealer gets a Blackjack also NO FAIR !
2. Player wagers an Odds-Win side bet and receives a blackjack. The Dealer does not have a blackjack, the side bet pays 4-to-1.
Could the side bet pay 3-1 and players wins, no matter what ? I am too math illiterate to know the answer to my question !
Buzzard,
Rule #2. If a Player win with a Blackjack, he get pays 4-to-1 and if a Player push with a Blackjack, he get pays 1-to-1 (What is wrong with that)?
I know the odds are over 400 to 1 against it, but it would piss me off just the same.
Not sure how others feel about it, I did see several Wheel of madness players go ballastic when it happened to them.
Quote: BuzzardNothing wrong, just a personal thing with me. I place a side bet hoping to get a BJ. I do, but I do not collect because the dealer also gets a BJ.
I know the odds are over 400 to 1 against it, but it would piss me off just the same.
Not sure how others feel about it, I did see several Wheel of madness players go ballastic when it happened to them.
Buzzard,
This side-bet is based on: Starting with a 2-card Odd Total and then wins or pushes the hand (so the odds are not that high).
Interesting idea. My concern was whether the side bet has an effect on the play of the hand. From the payouts of 0 for 1, 2 for 1, 4 for 1, 5 for 1 (c.f. the BJ bet 0 for 1, 1 for 1, 2 for 1, 3 for 2) I can see it doesn't affect the drawing rules (and a split cannot occur with an odds number). However it possibly does affect whether you double, since a double decreases your percentage of winning but doubles the payout if you do. Also if you take "Even Money", do you get 3-1?Quote: MrCasinoGames... 3. ... The sum of his two card hand is odd, so the dealer leaves the Odds-Win side bet in action.
3a) If the Player wins the hand, the side bet pays 3-to-1.
3b) If the Player pushes with the dealer, the side bet pays 1-to-1.
3c) If the Player loses the hand, the side bet loses.
Quote: charliepatrickInteresting idea. My concern was whether the side bet has an effect on the play of the hand. From the payouts of 0 for 1, 2 for 1, 4 for 1, 5 for 1 (c.f. the BJ bet 0 for 1, 1 for 1, 2 for 1, 3 for 2) I can see it doesn't affect the drawing rules (and a split cannot occur with an odds number). However it possibly does affect whether you double, since a double decreases your percentage of winning but doubles the payout if you do. Also if you take "Even Money", do you get 3-1?
Hi Charliepatrick,
The house edge for the Odds-Win Blackjack side bet is calculated for the combined blackjack game with a side bet equal to the main bet.
Overall, the house edge is minimized for an optimal player maximizing the side bet relative to the main bet, and playing to maximize the combined return (the side bet pushes for any main hand win or push).
The combined house edge for an equal main and side bet is 4.8%. Even for a 10x side bet (relative to a 1x main bet), the house edge is still 4.2% on the side bet.
Basic Strategy
The basic strategy for the combined main and equal side bet game differs slightly than the wellknown basic strategy for 6-deck shoe blackjack.
The basic strategy for the combined bet is presented in the table below. The main game rules are DAS, no LS, SPA4, SP4, and H17.
This strategy maximizes the return for an equal main and side bet wager. Note there are less doubledowns on 11, since its an odd number, and its better to hit against a dealer 9 and above, as wins pay 3-to-1 on the side bet.
Also if you take "Even Money" with your Blackjack, You still get 4-1 for the Odds-Win (4 to 1 for a winning Player Blackjack.).
Quote: MrCasinoGamesDealer must change his initial Up-card if it is 2 to 7 and must keep the second (replacement) Up-Card.
Stephen, how much does this compensating rule provide the house? I recently was thinking about a rule like this, but I see you have already conceived it. I wasn't even to the stage of getting numbers run on it, but since you are using it, I was curious as to how much in % terms it provides as a compensating rule.
Quote: ParadigmStephen, how much does this compensating rule provide the house? I recently was thinking about a rule like this, but I see you have already conceived it. I wasn't even to the stage of getting numbers run on it, but since you are using it, I was curious as to how much in % terms it provides as a compensating rule.
Hi Paradigm,
On the report, it didn't say any thing on how much in % terms it provides as a compensating rule.